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+package org.spongycastle.crypto.examples;
+
+import java.math.BigInteger;
+import java.security.SecureRandom;
+
+import org.spongycastle.crypto.CryptoException;
+import org.spongycastle.crypto.Digest;
+import org.spongycastle.crypto.agreement.jpake.JPAKEPrimeOrderGroup;
+import org.spongycastle.crypto.agreement.jpake.JPAKEPrimeOrderGroups;
+import org.spongycastle.crypto.agreement.jpake.JPAKEParticipant;
+import org.spongycastle.crypto.agreement.jpake.JPAKERound1Payload;
+import org.spongycastle.crypto.agreement.jpake.JPAKERound2Payload;
+import org.spongycastle.crypto.agreement.jpake.JPAKERound3Payload;
+import org.spongycastle.crypto.digests.SHA256Digest;
+
+/**
+ * An example of a J-PAKE exchange.
+ * <p>
+ *
+ * In this example, both Alice and Bob are on the same computer (in the same JVM, in fact).
+ * In reality, Alice and Bob would be in different locations,
+ * and would be sending their generated payloads to each other.
+ */
+public class JPAKEExample
+{
+
+ public static void main(String args[]) throws CryptoException
+ {
+ /*
+ * Initialization
+ *
+ * Pick an appropriate prime order group to use throughout the exchange.
+ * Note that both participants must use the same group.
+ */
+ JPAKEPrimeOrderGroup group = JPAKEPrimeOrderGroups.NIST_3072;
+
+ BigInteger p = group.getP();
+ BigInteger q = group.getQ();
+ BigInteger g = group.getG();
+
+ String alicePassword = "password";
+ String bobPassword = "password";
+
+ System.out.println("********* Initialization **********");
+ System.out.println("Public parameters for the cyclic group:");
+ System.out.println("p (" + p.bitLength() + " bits): " + p.toString(16));
+ System.out.println("q (" + q.bitLength() + " bits): " + q.toString(16));
+ System.out.println("g (" + p.bitLength() + " bits): " + g.toString(16));
+ System.out.println("p mod q = " + p.mod(q).toString(16));
+ System.out.println("g^{q} mod p = " + g.modPow(q, p).toString(16));
+ System.out.println("");
+
+ System.out.println("(Secret passwords used by Alice and Bob: " +
+ "\"" + alicePassword + "\" and \"" + bobPassword + "\")\n");
+
+ /*
+ * Both participants must use the same hashing algorithm.
+ */
+ Digest digest = new SHA256Digest();
+ SecureRandom random = new SecureRandom();
+
+ JPAKEParticipant alice = new JPAKEParticipant("alice", alicePassword.toCharArray(), group, digest, random);
+ JPAKEParticipant bob = new JPAKEParticipant("bob", bobPassword.toCharArray(), group, digest, random);
+
+ /*
+ * Round 1
+ *
+ * Alice and Bob each generate a round 1 payload, and send it to each other.
+ */
+
+ JPAKERound1Payload aliceRound1Payload = alice.createRound1PayloadToSend();
+ JPAKERound1Payload bobRound1Payload = bob.createRound1PayloadToSend();
+
+ System.out.println("************ Round 1 **************");
+ System.out.println("Alice sends to Bob: ");
+ System.out.println("g^{x1}=" + aliceRound1Payload.getGx1().toString(16));
+ System.out.println("g^{x2}=" + aliceRound1Payload.getGx2().toString(16));
+ System.out.println("KP{x1}={" + aliceRound1Payload.getKnowledgeProofForX1()[0].toString(16) + "};{" + aliceRound1Payload.getKnowledgeProofForX1()[1].toString(16) + "}");
+ System.out.println("KP{x2}={" + aliceRound1Payload.getKnowledgeProofForX2()[0].toString(16) + "};{" + aliceRound1Payload.getKnowledgeProofForX2()[1].toString(16) + "}");
+ System.out.println("");
+
+ System.out.println("Bob sends to Alice: ");
+ System.out.println("g^{x3}=" + bobRound1Payload.getGx1().toString(16));
+ System.out.println("g^{x4}=" + bobRound1Payload.getGx2().toString(16));
+ System.out.println("KP{x3}={" + bobRound1Payload.getKnowledgeProofForX1()[0].toString(16) + "};{" + bobRound1Payload.getKnowledgeProofForX1()[1].toString(16) + "}");
+ System.out.println("KP{x4}={" + bobRound1Payload.getKnowledgeProofForX2()[0].toString(16) + "};{" + bobRound1Payload.getKnowledgeProofForX2()[1].toString(16) + "}");
+ System.out.println("");
+
+ /*
+ * Each participant must then validate the received payload for round 1
+ */
+
+ alice.validateRound1PayloadReceived(bobRound1Payload);
+ System.out.println("Alice checks g^{x4}!=1: OK");
+ System.out.println("Alice checks KP{x3}: OK");
+ System.out.println("Alice checks KP{x4}: OK");
+ System.out.println("");
+
+ bob.validateRound1PayloadReceived(aliceRound1Payload);
+ System.out.println("Bob checks g^{x2}!=1: OK");
+ System.out.println("Bob checks KP{x1},: OK");
+ System.out.println("Bob checks KP{x2},: OK");
+ System.out.println("");
+
+ /*
+ * Round 2
+ *
+ * Alice and Bob each generate a round 2 payload, and send it to each other.
+ */
+
+ JPAKERound2Payload aliceRound2Payload = alice.createRound2PayloadToSend();
+ JPAKERound2Payload bobRound2Payload = bob.createRound2PayloadToSend();
+
+ System.out.println("************ Round 2 **************");
+ System.out.println("Alice sends to Bob: ");
+ System.out.println("A=" + aliceRound2Payload.getA().toString(16));
+ System.out.println("KP{x2*s}={" + aliceRound2Payload.getKnowledgeProofForX2s()[0].toString(16) + "},{" + aliceRound2Payload.getKnowledgeProofForX2s()[1].toString(16) + "}");
+ System.out.println("");
+
+ System.out.println("Bob sends to Alice");
+ System.out.println("B=" + bobRound2Payload.getA().toString(16));
+ System.out.println("KP{x4*s}={" + bobRound2Payload.getKnowledgeProofForX2s()[0].toString(16) + "},{" + bobRound2Payload.getKnowledgeProofForX2s()[1].toString(16) + "}");
+ System.out.println("");
+
+ /*
+ * Each participant must then validate the received payload for round 2
+ */
+
+ alice.validateRound2PayloadReceived(bobRound2Payload);
+ System.out.println("Alice checks KP{x4*s}: OK\n");
+
+ bob.validateRound2PayloadReceived(aliceRound2Payload);
+ System.out.println("Bob checks KP{x2*s}: OK\n");
+
+ /*
+ * After round 2, each participant computes the keying material.
+ */
+
+ BigInteger aliceKeyingMaterial = alice.calculateKeyingMaterial();
+ BigInteger bobKeyingMaterial = bob.calculateKeyingMaterial();
+
+ System.out.println("********* After round 2 ***********");
+ System.out.println("Alice computes key material \t K=" + aliceKeyingMaterial.toString(16));
+ System.out.println("Bob computes key material \t K=" + bobKeyingMaterial.toString(16));
+ System.out.println();
+
+
+ /*
+ * You must derive a session key from the keying material applicable
+ * to whatever encryption algorithm you want to use.
+ */
+
+ BigInteger aliceKey = deriveSessionKey(aliceKeyingMaterial);
+ BigInteger bobKey = deriveSessionKey(bobKeyingMaterial);
+
+ /*
+ * At this point, you can stop and use the session keys if you want.
+ * This is implicit key confirmation.
+ *
+ * If you want to explicitly confirm that the key material matches,
+ * you can continue on and perform round 3.
+ */
+
+ /*
+ * Round 3
+ *
+ * Alice and Bob each generate a round 3 payload, and send it to each other.
+ */
+
+ JPAKERound3Payload aliceRound3Payload = alice.createRound3PayloadToSend(aliceKeyingMaterial);
+ JPAKERound3Payload bobRound3Payload = bob.createRound3PayloadToSend(bobKeyingMaterial);
+
+ System.out.println("************ Round 3 **************");
+ System.out.println("Alice sends to Bob: ");
+ System.out.println("MacTag=" + aliceRound3Payload.getMacTag().toString(16));
+ System.out.println("");
+ System.out.println("Bob sends to Alice: ");
+ System.out.println("MacTag=" + bobRound3Payload.getMacTag().toString(16));
+ System.out.println("");
+
+ /*
+ * Each participant must then validate the received payload for round 3
+ */
+
+ alice.validateRound3PayloadReceived(bobRound3Payload, aliceKeyingMaterial);
+ System.out.println("Alice checks MacTag: OK\n");
+
+ bob.validateRound3PayloadReceived(aliceRound3Payload, bobKeyingMaterial);
+ System.out.println("Bob checks MacTag: OK\n");
+
+ System.out.println();
+ System.out.println("MacTags validated, therefore the keying material matches.");
+ }
+
+ private static BigInteger deriveSessionKey(BigInteger keyingMaterial)
+ {
+ /*
+ * You should use a secure key derivation function (KDF) to derive the session key.
+ *
+ * For the purposes of this example, I'm just going to use a hash of the keying material.
+ */
+ SHA256Digest digest = new SHA256Digest();
+
+ byte[] keyByteArray = keyingMaterial.toByteArray();
+
+ byte[] output = new byte[digest.getDigestSize()];
+
+ digest.update(keyByteArray, 0, keyByteArray.length);
+
+ digest.doFinal(output, 0);
+
+ return new BigInteger(output);
+ }
+}